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2325250400 = 2552111913907
BaseRepresentation
bin1000101010011000…
…1000000101100000
320000001100221220012
42022212020011200
514230231003100
61022422104052
7111423205454
oct21246100540
96001327805
102325250400
11a935a8050
1254a87b028
132b0976315
14180b62664
15d920d135
hex8a988160

2325250400 has 144 divisors (see below), whose sum is σ = 6518957760. Its totient is φ = 800985600.

The previous prime is 2325250391. The next prime is 2325250409. The reversal of 2325250400 is 40525232.

It is an interprime number because it is at equal distance from previous prime (2325250391) and next prime (2325250409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325250409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160247 + ... + 174153.

It is an arithmetic number, because the mean of its divisors is an integer number (45270540).

Almost surely, 22325250400 is an apocalyptic number.

2325250400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259478880).

2325250400 is an abundant number, since it is smaller than the sum of its proper divisors (4193707360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2325250400 is a wasteful number, since it uses less digits than its factorization.

2325250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2325250400 is about 48220.8502621014. The cubic root of 2325250400 is about 1324.8190853027.

Adding to 2325250400 its reverse (40525232), we get a palindrome (2365775632).

The spelling of 2325250400 in words is "two billion, three hundred twenty-five million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 76 80 88 95 100 110 152 160 176 190 200 209 220 275 304 352 380 400 418 440 475 550 608 760 800 836 880 950 1045 1100 1520 1672 1760 1900 2090 2200 3040 3344 3800 4180 4400 5225 6688 7600 8360 8800 10450 13907 15200 16720 20900 27814 33440 41800 55628 69535 83600 111256 139070 152977 167200 222512 264233 278140 305954 347675 445024 528466 556280 611908 695350 764885 1056932 1112560 1223816 1321165 1390700 1529770 2113864 2225120 2447632 2642330 2781400 2906563 3059540 3824425 4227728 4895264 5284660 5562800 5813126 6119080 6605825 7648850 8455456 10569320 11125600 11626252 12238160 13211650 14532815 15297700 21138640 23252504 24476320 26423300 29065630 30595400 42277280 46505008 52846600 58131260 61190800 72664075 93010016 105693200 116262520 122381600 145328150 211386400 232525040 290656300 465050080 581312600 1162625200 2325250400